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Triangular Norms /

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Triangular norms were first used in the context of probabilistic metric spaces in order to extend the triangle inequality from classical metric spaces to this more general case. The theory of triangular norms has two roots, viz., specific functional equations and the theory of special topological se...

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Bibliographic Details
Main Author: Klement, E. P. (Erich Peter)
Corporate Author: SpringerLink (Online service)
Other Authors: Mesiar, Radko, Pap, Endre
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 2000.
Series:Trends in Logic, Studia Logica Library ; 8.
Subjects:
Philosophy (General)
Logic.
Algebra.
Logic, Symbolic and mathematical.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Acknowledgments
  • Introduction
  • Notations used in this book
  • Part I: 1. Basic definitions and properties. 2. Algebraic aspects. 3. Construction of t-norms. 4. Families of t-norms. 5. Representations of t-norms. 6. Comparison of t-norms. 7. Values and discretization of t-norms. 8. Convergence of t-norms
  • Part II: 9. Distribution functions. 10. Aggregation operators. 11. Many-valued logics. 12. Fuzzy set theory. 13. Applications of fuzzy logic and fuzzy sets. 14. Generalized measures and integrals
  • Appendix A: Families of t-norms. B: Additional t-norms
  • Reference material
  • List of Figures
  • List of Tables
  • List of Mathematical Symbols
  • Bibliography
  • Index.